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Finding the Fourth Proportional to 148,042.08, 204,299.28 and 80,974.08

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Solution

The fourth proportional to 148,042.08, 204,299.28 and 80,974.08 is: 111,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,042.08 : 204,299.28 = 80,974.08 : x
  2. Step 2: Convert to fraction form
    148,042.08/204,299.28 = 80,974.08/x
  3. Step 3: Cross multiply
    148,042.08x = 204,299.28 × 80,974.08
  4. Step 4: Simplify right side
    148,042.08x = 16,542,946,242.66
  5. Step 5: Solve for x
    x = 16,542,946,242.66/148,042.08
  6. Step 6: Final answer
    x = 111,744.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.